Dynamic Response of Non-Uniform Elastic Structure Resting on Exponentially Decaying Vlasov Foundation under Repeated Rolling Concentrated Loads

In this paper, the motion of a non-uniform elastic structure resting on exponentially decaying Vlasov foundation and under repeated rolling concentrated loads moving with constant velocity is analyzed. The governing equation is a fourth order partial differential equation. The solution technique is based on the method of Galerkin with series representation of Heaviside function. The result shows that, an increase in the values of the structural parameters such as foundation stiffness, foundation modulus and distance x along span of the beam reduces the response amplitude of the beam for the dynamic problem.